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 | <div class="section"> | 
 | <div class="titlepage"><div><div><h3 class="title"> | 
 | <a name="range.concepts.bidirectional_range"></a><a class="link" href="bidirectional_range.html" title="Bidirectional Range">Bidirectional Range</a> | 
 | </h3></div></div></div> | 
 | <a name="range.concepts.bidirectional_range.notation"></a><h5> | 
 | <a name="id650256"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.notation">Notation</a> | 
 |       </h5> | 
 | <div class="informaltable"><table class="table"> | 
 | <colgroup> | 
 | <col> | 
 | <col> | 
 | </colgroup> | 
 | <thead><tr></tr></thead> | 
 | <tbody> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">X</span></code> | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   A type that is a model of <a class="link" href="bidirectional_range.html" title="Bidirectional Range">Bidirectional | 
 |                   Range</a>. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">a</span></code> | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   Object of type X. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | </tbody> | 
 | </table></div> | 
 | <a name="range.concepts.bidirectional_range.description"></a><h5> | 
 | <a name="id650345"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.description">Description</a> | 
 |       </h5> | 
 | <p> | 
 |         This concept provides access to iterators that traverse in both directions | 
 |         (forward and reverse). The <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_iterator</span><span class="special"><</span><span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span></code> iterator must meet all of the requirements | 
 |         of <a href="../../../../../../libs/iterator/doc/new-iter-concepts.html#bidirectional-traversal-iterators-lib-bidirectional-traversal-iterators" target="_top">Bidirectional | 
 |         Traversal Iterator</a>. | 
 |       </p> | 
 | <a name="range.concepts.bidirectional_range.refinement_of"></a><h5> | 
 | <a name="id650403"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.refinement_of">Refinement | 
 |         of</a> | 
 |       </h5> | 
 | <p> | 
 |         <a class="link" href="forward_range.html" title="Forward Range">Forward Range</a> | 
 |       </p> | 
 | <a name="range.concepts.bidirectional_range.associated_types"></a><h5> | 
 | <a name="id650426"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.associated_types">Associated | 
 |         types</a> | 
 |       </h5> | 
 | <div class="informaltable"><table class="table"> | 
 | <colgroup> | 
 | <col> | 
 | <col> | 
 | <col> | 
 | </colgroup> | 
 | <thead><tr></tr></thead> | 
 | <tbody> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   Reverse Iterator type | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span></code> | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   The type of iterator used to iterate through a Range's elements | 
 |                   in reverse order. The iterator's value type is expected to be the | 
 |                   Range's value type. A conversion from the reverse iterator type | 
 |                   to the const reverse iterator type must exist. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   Const reverse iterator type | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="keyword">const</span> <span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span></code> | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   A type of reverse iterator that may be used to examine, but not | 
 |                   to modify, a Range's elements. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | </tbody> | 
 | </table></div> | 
 | <a name="range.concepts.bidirectional_range.valid_expressions"></a><h5> | 
 | <a name="id650581"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.valid_expressions">Valid | 
 |         expressions</a> | 
 |       </h5> | 
 | <div class="informaltable"><table class="table"> | 
 | <colgroup> | 
 | <col> | 
 | <col> | 
 | <col> | 
 | <col> | 
 | </colgroup> | 
 | <thead><tr> | 
 | <th> | 
 |                 <p> | 
 |                   Name | 
 |                 </p> | 
 |               </th> | 
 | <th> | 
 |                 <p> | 
 |                   Expression | 
 |                 </p> | 
 |               </th> | 
 | <th> | 
 |                 <p> | 
 |                   Return type | 
 |                 </p> | 
 |               </th> | 
 | <th> | 
 |                 <p> | 
 |                   Semantics | 
 |                 </p> | 
 |               </th> | 
 | </tr></thead> | 
 | <tbody> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   Beginning of range | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rbegin</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> | 
 |                   is mutable <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="keyword">const</span> | 
 |                   <span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span></code> otherwise. | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   Equivalent to <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">end</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   End of range | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rend</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span></code> if <code class="computeroutput"><span class="identifier">a</span></code> | 
 |                   is mutable, <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="keyword">const</span> | 
 |                   <span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span></code> otherwise. | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   Equivalent to <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">range_reverse_iterator</span><span class="special"><</span><span class="identifier">X</span><span class="special">>::</span><span class="identifier">type</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">begin</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code>. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | </tbody> | 
 | </table></div> | 
 | <a name="range.concepts.bidirectional_range.complexity_guarantees"></a><h5> | 
 | <a name="id651042"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.complexity_guarantees">Complexity | 
 |         guarantees</a> | 
 |       </h5> | 
 | <p> | 
 |         <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rbegin</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> has | 
 |         the same complexity as <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">end</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> and | 
 |         <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rend</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> has the same complexity as <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">begin</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> from | 
 |         <a class="link" href="forward_range.html" title="Forward Range">Forward Range</a>. | 
 |       </p> | 
 | <a name="range.concepts.bidirectional_range.invariants"></a><h5> | 
 | <a name="id651182"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.invariants">Invariants</a> | 
 |       </h5> | 
 | <div class="informaltable"><table class="table"> | 
 | <colgroup> | 
 | <col> | 
 | <col> | 
 | </colgroup> | 
 | <thead><tr></tr></thead> | 
 | <tbody> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   Valid reverse range | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   For any Bidirectional Range a, <code class="computeroutput"><span class="special">[</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rbegin</span><span class="special">(</span><span class="identifier">a</span><span class="special">),</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rend</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code> | 
 |                   is a valid range, that is, <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rend</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> is reachable from <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rbegin</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code> | 
 |                   in a finite number of increments. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | <tr> | 
 | <td> | 
 |                 <p> | 
 |                   Completeness | 
 |                 </p> | 
 |               </td> | 
 | <td> | 
 |                 <p> | 
 |                   An algorithm that iterates through the range <code class="computeroutput"><span class="special">[</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rbegin</span><span class="special">(</span><span class="identifier">a</span><span class="special">),</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rend</span><span class="special">(</span><span class="identifier">a</span><span class="special">))</span></code> | 
 |                   will pass through every element of <code class="computeroutput"><span class="identifier">a</span></code>. | 
 |                 </p> | 
 |               </td> | 
 | </tr> | 
 | </tbody> | 
 | </table></div> | 
 | <a name="range.concepts.bidirectional_range.see_also"></a><h5> | 
 | <a name="id651431"></a> | 
 |         <a class="link" href="bidirectional_range.html#range.concepts.bidirectional_range.see_also">See also</a> | 
 |       </h5> | 
 | <p> | 
 |         <a class="link" href="../reference/concept_implementation/semantics/metafunctions.html" title="Metafunctions">Implementation | 
 |         of metafunctions</a> | 
 |       </p> | 
 | <p> | 
 |         <a class="link" href="../reference/concept_implementation/semantics/functions.html" title="Functions">Implementation | 
 |         of functions</a> | 
 |       </p> | 
 | </div> | 
 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | 
 | <td align="left"></td> | 
 | <td align="right"><div class="copyright-footer">Copyright © 2003 -2010 Thorsten Ottosen, Neil Groves<p> | 
 |         Distributed under the Boost Software License, Version 1.0. (See accompanying | 
 |         file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) | 
 |       </p> | 
 | </div></td> | 
 | </tr></table> | 
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